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Finding the Fourth Proportional to 524.61, 784.82 and 422.08

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Solution

The fourth proportional to 524.61, 784.82 and 422.08 is: 631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.61 : 784.82 = 422.08 : x
  2. Step 2: Convert to fraction form
    524.61/784.82 = 422.08/x
  3. Step 3: Cross multiply
    524.61x = 784.82 × 422.08
  4. Step 4: Simplify right side
    524.61x = 331,255.92
  5. Step 5: Solve for x
    x = 331,255.92/524.61
  6. Step 6: Final answer
    x = 631.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.